4.6 Article

Novel results on bifurcation for a fractional-order complex-valued neural network with leakage delay

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.09.138

Keywords

Leakage delays; Stability; Hopf bifurcation; Fractional order; Complex-valued neural networks

Funding

  1. National Natural Science Foundation of China [61573194]

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This paper primarily investigates the impact of leakage delay on bifurcation for a fractional order complex-valued neural network. By means of time delay as a bifurcation parameter, the bifurcation conditions are precisely determined of the proposed novel system. It is pointed out that the stability performance of the addressed fractional neural network is extremely undermined when leakage delay appears by utilizing comparative numerical analysis, they cannot be discarded. Our obtained results enormously generalizes and enhances the existing ones in literatures. Numerical simulations are presented to verify the validity of the obtained results. (C) 2018 Elsevier B.V. All rights reserved.

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